84771868272 has 240 divisors, whose sum is σ = 276551942400. Its totient is φ = 22356681984.

The previous prime is 84771868267. The next prime is 84771868273. The reversal of 84771868272 is 27286817748.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84771868273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2767183 + ... + 2797649.

It is an arithmetic number, because the mean of its divisors is an integer number (1152299760).

Almost surely, 2^84771868272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84771868272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138275971200).

84771868272 is an abundant number, since it is smaller than the sum of its proper divisors (191780074128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84771868272 is a wasteful number, since it uses less digits than its factorization.

84771868272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30525 (or 30492 counting only the distinct ones).

The product of its digits is 16859136, while the sum is 60.

The spelling of 84771868272 in words is "eighty-four billion, seven hundred seventy-one million, eight hundred sixty-eight thousand, two hundred seventy-two".